I have been searching the web for several years now attempting to find a good intuitive explanation of what measurable cardinals are and how best to conceive them. All I can find, over nd over, are definitions of the things in terms of ultrafilters and k-sigma measures. I do know what those things are, but that doesn't help me visualize what a measurable cardinal looks like, how one makes one, or why it has the properties it does. Can anyone help me with this?? Thanks for reading!!
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an alternative browser.
You should upgrade or use an alternative browser.
Measurable Cardinals.
- Thread starter DrWm
- Start date
I have been searching the web for several years now attempting to find a good intuitive explanation of what measurable cardinals are and how best to conceive them. All I can find, over nd over, are definitions of the things in terms of ultrafilters and k-sigma measures. I do know what those things are, but that doesn't help me visualize what a measurable cardinal looks like, how one makes one, or why it has the properties it does. Can anyone help me with this?? Thanks for reading!!
Sorry, no I can't. However, being here takes me to concepts I haven't actually seen before [but in rare cases, may have thought of it]. So thanks for introducing me to a new concept.
HallsofIvy
Elite Member
- Joined
- Jan 27, 2012
- Messages
- 7,763
I googled "measurable cardinal" and got a number of results talking about "inaccessible cardinals", "two-valued measures", and "complete non-principle ultrafilters". If you don't know what any of those mean, then you have a lot of background work to do first!